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14518429110016 = 281345718675113
BaseRepresentation
bin1101001101000101010111…
…0011110100111100000000
31220101221121021202110022021
43103101111303310330000
53400332220323010031
650513401350051224
73025631131154566
oct323212563647400
956357537673267
1014518429110016
11469825a813217
121765928649b14
1381410b196740
143829a509da36
151a29ce8ed511
hexd3455cf4f00

14518429110016 has 144 divisors (see below), whose sum is σ = 31300552922464. Its totient is φ = 6681262620672.

The previous prime is 14518429110013. The next prime is 14518429110019. The reversal of 14518429110016 is 61001192481541.

It is an interprime number because it is at equal distance from previous prime (14518429110013) and next prime (14518429110019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14518429110013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2839510276 + ... + 2839515388.

Almost surely, 214518429110016 is an apocalyptic number.

14518429110016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14518429110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650276461232).

14518429110016 is an abundant number, since it is smaller than the sum of its proper divisors (16782123812448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14518429110016 is a wasteful number, since it uses less digits than its factorization.

14518429110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466 (or 7452 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 14518429110016 in words is "fourteen trillion, five hundred eighteen billion, four hundred twenty-nine million, one hundred ten thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 457 832 914 1664 1828 1867 3328 3656 3734 5113 5941 7312 7468 10226 11882 14624 14936 20452 23764 24271 29248 29872 40904 47528 48542 58496 59744 66469 81808 95056 97084 116992 119488 132938 163616 190112 194168 238976 265876 327232 380224 388336 477952 531752 654464 760448 776672 853219 1063504 1308928 1520896 1553344 1706438 2127008 2336641 3106688 3412876 4254016 4673282 6213376 6825752 8508032 9346564 9545971 11091847 13651504 17016064 18693128 19091942 22183694 27303008 30376333 37386256 38183884 44367388 54606016 60752666 74772512 76367768 88734776 109212032 121505332 124097623 149545024 152735536 177469552 218424064 243010664 248195246 299090048 305471072 354939104 486021328 496390492 598180096 610942144 709878208 972042656 992780984 1221884288 1419756416 1944085312 1985561968 2443768576 2839512832 3888170624 3971123936 4362508747 7776341248 7942247872 8725017494 15884495744 17450034988 31768991488 34900069976 56712613711 69800139952 113425227422 139600279904 226850454844 279200559808 453700909688 558401119616 907401819376 1116802239232 1814803638752 3629607277504 7259214555008 14518429110016